Metamath Proof Explorer


Theorem wl-luk-pm2.24i

Description: Inference rule. Copy of pm2.24i with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)

Ref Expression
Hypothesis wl-luk-pm2.24i.1
|- ph
Assertion wl-luk-pm2.24i
|- ( -. ph -> ps )

Proof

Step Hyp Ref Expression
1 wl-luk-pm2.24i.1
 |-  ph
2 ax-luk3
 |-  ( ph -> ( -. ph -> ps ) )
3 1 2 ax-mp
 |-  ( -. ph -> ps )